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Finding the Fourth Proportional to 34,715.88, 52,076.25 and 17,181

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Solution

The fourth proportional to 34,715.88, 52,076.25 and 17,181 is: 25,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715.88 : 52,076.25 = 17,181 : x
  2. Step 2: Convert to fraction form
    34,715.88/52,076.25 = 17,181/x
  3. Step 3: Cross multiply
    34,715.88x = 52,076.25 × 17,181
  4. Step 4: Simplify right side
    34,715.88x = 894,722,051.25
  5. Step 5: Solve for x
    x = 894,722,051.25/34,715.88
  6. Step 6: Final answer
    x = 25,772.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.